Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents
The existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents. The main contribution of our work is the proof of the existence of renormalized solutions without the coercivity condition on nonlinearities which allows us to use the Gagliardo–Nirenbe...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/145857 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents / B. El Hamdaoui, J. Bennouna, A. Aberqi // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 27-53. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-145857 |
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El Hamdaoui, B. Bennouna, J. Aberqi, A. 2019-02-01T18:19:49Z 2019-02-01T18:19:49Z 2018 Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents / B. El Hamdaoui, J. Bennouna, A. Aberqi // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 27-53. — Бібліогр.: 29 назв. — англ. 1812-9471 DOI: https://doi.org/10.15407/mag14.01.027 Mathematics Subject Classification 2010: 35J70, 35D05 https://nasplib.isofts.kiev.ua/handle/123456789/145857 The existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents. The main contribution of our work is the proof of the existence of renormalized solutions without the coercivity condition on nonlinearities which allows us to use the Gagliardo–Nirenberg theorem in the proof. Наведено результат iснування перенормованих розв’язкiв для класу нелiнiйних параболiчних систем з експонентою, що змiнюється. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents Перенормованi розв’язки нелiнiйних параболiчних систем у просторах Лебега–Соболєва з експонентою, що змiнюється Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents |
| spellingShingle |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents El Hamdaoui, B. Bennouna, J. Aberqi, A. |
| title_short |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents |
| title_full |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents |
| title_fullStr |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents |
| title_full_unstemmed |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents |
| title_sort |
renormalized solutions for nonlinear parabolic systems in the lebesgue{sobolev spaces with variable exponents |
| author |
El Hamdaoui, B. Bennouna, J. Aberqi, A. |
| author_facet |
El Hamdaoui, B. Bennouna, J. Aberqi, A. |
| publishDate |
2018 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| title_alt |
Перенормованi розв’язки нелiнiйних параболiчних систем у просторах Лебега–Соболєва з експонентою, що змiнюється |
| description |
The existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents. The main contribution of our work is the proof of the existence of renormalized solutions without the coercivity condition on nonlinearities which allows us to use the Gagliardo–Nirenberg theorem in the proof.
Наведено результат iснування перенормованих розв’язкiв для класу нелiнiйних параболiчних систем з експонентою, що змiнюється.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/145857 |
| citation_txt |
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents / B. El Hamdaoui, J. Bennouna, A. Aberqi // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 27-53. — Бібліогр.: 29 назв. — англ. |
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| first_indexed |
2025-11-30T20:59:35Z |
| last_indexed |
2025-11-30T20:59:35Z |
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